%I #16 Nov 08 2023 15:53:51
%S 1,1,1,2,2,2,8,2,4,9,9,2,36,2,10,45,12,2,104,2,54,69,15,2,289,15,16,
%T 100,83,2,1322,2,47,136,21,99,1963,2,22,179,568,2,3168,2,158,3159,27,
%U 2,4637,23,480,282,207,2,6579,189,1046,343,33,2,82522,2,34,7361
%N Number of partitions of 2n into n divisors of 2n.
%H Alois P. Heinz, <a href="/A367189/b367189.txt">Table of n, a(n) for n = 0..1000</a>
%F a(n) = A320638(2n,n).
%F a(n) = 2 <=> n = 4 or n in { A065091 }.
%e a(6) = 8: 222222, 322221, 332211, 333111, 422211, 432111, 441111, 621111.
%e a(7) = 2: 2222222, 7211111.
%e a(8) = 4: 22222222, 42222211, 44221111, 82111111.
%e a(9) = 9: 222222222, 322222221, 332222211, 333222111, 333321111, 622221111, 632211111, 633111111, 921111111.
%e a(10) = 9: 2222222222, 4222222211, 4422221111, 4442111111, 5222222111, 5422211111, 5441111111, 5522111111, (10)211111111.
%Y Cf. A065091, A320638.
%K nonn
%O 0,4
%A _Alois P. Heinz_, Nov 08 2023